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Time for Linear Diffusion in Reservoirs Formulas and Calculators

Civil Engineering Design and Engineering
Fluids Engineering and Design

Characteristic Time for Linear Diffusion in Reservoirs Formulas and Calculators

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Eq. 1
τ = [ ( Φ · β_f · β_r ) · µ · I² ] / k

Where:

Φ = Porosity (fraction)
β_f = Fluid Compressibility (1/psi)
β_r = Rock Compressibility (1/psi)
µ = Viscosity (cP)
I = Characteristic Length Scale of Diffusion (ft)
k = Permeability (mD)
τ = Time (s)

cP = centipose
mD = Millidarcy

Source:

Reference: Zoback, M. D. Reservoir Geomechanics, Cambridge University Express, UK, Page: 41.

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